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Finding the Fourth Proportional to 82,671.45, 114,086.13 and 45,877.30

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Solution

The fourth proportional to 82,671.45, 114,086.13 and 45,877.30 is: 63,310.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,671.45 : 114,086.13 = 45,877.30 : x
  2. Step 2: Convert to fraction form
    82,671.45/114,086.13 = 45,877.30/x
  3. Step 3: Cross multiply
    82,671.45x = 114,086.13 × 45,877.30
  4. Step 4: Simplify right side
    82,671.45x = 5,233,963,498.67
  5. Step 5: Solve for x
    x = 5,233,963,498.67/82,671.45
  6. Step 6: Final answer
    x = 63,310.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.